Home
Class 12
MATHS
The value of alpha for which point M(a...

The value of `alpha` for which point `M(alpha hati+2hatj+hatk)`, lie in the plane containing three points `A(hati+hatj+hatk) and C(3hati-hatk)` is :

A

1

B

2

C

`(1)/(2)`

D

`-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|19 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|13 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

The ratio in which the plane vecr.( hati-2 hatj+3 hatk)=17 divides the line joining the points -2 hati+4 hatj+7 hatk and 3 hati-5 hatj+8 hatk Is __

The vector (s) equally inclined to the vectors hati-hatj+hatk and hati+hatj-hatk in the plane containing them is (are_ (A) (hati+hatj+hatk)/sqrt(3) (B) hati (C) hati+hatk (D) hati-hatk

If the magnitude of the projection of the vector hati-hatj+2hatk on the vector perpendicular to the plane containing the vectors 2hati+hatj+3hatk and hati-hatj-2hatk is k, then the value of (1)/(k^(2)) is equal to

The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines r=(hati+hatj)+lambda(hati+2hatj-hatk)" and "r=(hati+hatj)+mu(-hati+hatj-2hatk) is

Find the vector of length 3 unit which is perpendicular to hati+hatj+hatk and lies in the plane of hati+hatj+hatk and 2hati-3hatj

The magnitude of the projection of the vector 2hati+3hatj+hatk on the vector perpendicular to the plane containing the vectors hati+hatj+hatk" and "hati+2hatj+3hatk , is

The vector equation of the plane passing through the points hati+hatj-2hatk,2hati-hatj+hatk and hati+hatj+hatk , is

The position vector of the point in which the line joining the points hati-2hatj+hatk and 3hatk-2hatj cuts the plane through the origin and the points 4hatj and 2hati+hatk is

Find the equation of the plane through the point hati+4hatj-2hatk and perpendicular to the line of intersection of the planes vecr.(hati+hatj+hatk)=10 and vecr.(2hati-hatj+3hatk)=18.

The unit vector which is orhtogonal to the vector 3hati+2hatj+6hatk and is coplanar with vectors 2hati+hatj+hatk and hati-hatj+hatk , is